SOLUTION: The freight elevator of a building can safely carry a load of at most 4000 lb. A worker needs to move supplies in 50-lb boxes from the loading dock to the fourth floor of the bui

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Question 683325: The freight elevator of a building can safely carry a load of at most 4000 lb. A worker needs to move supplies in 50-lb boxes from the loading dock to the fourth floor of the building. The worker weighs 160 lb. The cart she uses weights 95 lb.
a. What is the greatest number of boxes she can move in one trip?
b. The worker must deliver 310 boxes to the fourth floor. How many trips must she make?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The worker plus cart is +160+%2B+95+=+255+
+4000+-+255+=+3745+
She can carry, at most, in one trip
+3745+%2F+50+=+74.9+ boxes
She can't carry 9/10 of a box, so she can
only move 74 boxes in one trip
--------------------------
+310+%2F+74+=+4.19+ trips
She can't make 19/100 of a trip, so she'll have to make
one more whole trip.
+4+%2B+1+=+5+
She has to make 5 trips
check answer:
In 5 trips, she can move at most +5%2A74+=+370+ boxes
In 4 trips, she moves +4%2A74+=+296+ boxes
After 4 trips, she needs to move +310+-+296+=+14+
boxes, so she needs the 5th trip for the las 14 boxes